The Brazilian, who is currently on holiday after helping his country win the Confederations Cup, has been linked with a move away from the Allianz Arena since the signing of Javi Martinez last summer.
Many have doubted whether Gustavo will feature in new coach Pep Guardiola's plans for the upcoming season, but the 25-year-old is keen to hold talks in order to resolve his situation.
"I am under contract," Gustavo told Globo Esporte. "I want to stay but let's see what happens. I will present myself to the new manager on July 18 and let's see what his decision will be.
"This title doesn't make me feel that I am certain to play. It's always good to be valued, to see your job is being done well. Everyone who works feels happy to be valued.
"Now, let's see what will happen. I want to see out my contract. Our team is very good and I feel well in Munich, but let's see."
Gustavo joined Bayern from Hoffenheim in 2011.